Peltier and Seebeck effects on a nonlocal couple stress double porous thermoelastic diffusive material under memory-dependent Moore-Gibson-Thompson theory

Abstract

The present study investigates the electro-magneto-thermo-elasto-diffusive response of a nonlocal couple stress double porous thermoelastic diffusive material with voids (CSDPTDMWV) substrate subjected to modified Ohm’s law and a novel memory-dependent Moore-Gibson-Thompson (MGT) thermo-elasto-diffusion model. The modification of Fourier’s heat conduction and Fick’s mass diffusion laws are highlighted by considering the relaxation times in Green–Naghdi III theory. Based on Eringen’s nonlocal theory, the fundamental relations and governing equations for the considered material are developed. The normal mode technique is employed to determine the analytical expressions of field variables. Graphical demonstrations are presented with respect to prime parameters.

Keywords:

• Moore-Gibson-Thompson thermo-elasto-diffusion model
• memory-dependent derivative
• Eringen’s nonlocal theory
• couple stress
• double porosity
• modified Ohm’s law
• Peltier and Seebeck effect

Acknowledgments

Authors acknowledge the Council of Scientific and Industrial Research(CSIR) by the project (Grant Number 25(0296)/19/EMR-II) entitled Mathematical Modeling of Elastic Waves in Fractional Order Thermoelastic Solids with Micro-configurations and Initially Stressed Media for providing financial support for this research work.

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Additional information

Funding

Authors acknowledge the Council of Scientific and Industrial Research(CSIR) by the project (Grant Number 25(0296)/19/EMR-II) entitled Mathematical Modeling of Elastic Waves in Fractional Order Thermoelastic Solids with Micro-configurations and Initially Stressed Media for providing financial support for this research work.